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Variational derivation of the Camassa-Holm shallow water equation with non-zero vorticity

Authors
  • Ionescu-Kruse, Delia
Type
Published Article
Publication Date
Nov 29, 2007
Submission Date
Nov 29, 2007
Source
arXiv
License
Unknown
External links

Abstract

We describe the physical hypotheses underlying the derivation of an approximate model of water waves. For unidirectional surface shallow water waves moving over an irrotational flow as well as over a non-zero vorticity flow, we derive the Camassa-Holm equation by an interplay of variational methods and small-parameter expansions.

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